Confidence bands in nonparametric regression

By Xin Fu. 2009

90 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/19fc816393661cadc79daeeb7042234a48f13ece

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Citations in the corpus

Simultaneous inference of linear models with time varying coefficients (2010, background): “Assuming that the observations are independent, we can construct simultaneous confidence bands that have asymptotically correct coverage probabilities; see Bickel and Rosenblatt (1973), Eubank and Speckman (1993), Johnston (1982), Neumann and Polzehl (1998) and Fan and Zhang (2000) among others.”
Non‐parametric confidence bands in deconvolution density estimation (2007, methodology): “x/ was derived by Fan (1991b) and van Es and Uh (2005), both in the ordinary smooth and in the supersmooth cases under some regularity conditions.”
Komlós–Major–Tusnády approximation under dependence (2014, background): “Eubank and Speckman (1993) considered a similar problem for independent observations. As pointed out by and C. Wu, Chiang and Hoover (1998), basic difficulties in the theory of simultaneous inference under dependence are due to the lack of suitable Gaussian approximation. Using a recent “split” form”
Mixture of Regression Models With Varying Mixing Proportions: A Semiparametric Approach (2012, methodology): “The bootstrap approach to construct CIs for nonparametric regression has been studied by many authors, such as Härdle and Bowman (1988), Härdle and Marron (1991), Eubank and Speckman (1993), Neumann and Polzehl (1998), Xia (1998), and Claeskens and Van Keilegom (2003).”
Inference of trends in time series (2007, methodology): “…of independent errors, the construction of SCBs has been discussed by Johnston (1982), Härdle (1989), Knafl et al. (1985), Hall and Titterington (1988), Härdle and Marron (1991), Eubank and Speckman (1993), Sun and Loader (1994), Xia (1998), Cummins et al. (2001) and Dümbgen (2003) among others.”
Adaptive confidence bands (2007, background): “Papers on pointwise asymptotic methods include Claeskens and Van Keilegom (2003), Eubank and Speckman (1993), Härdle and Marron (1991), Hall and Titterington (1988), Härdle and Bowman (1988), Neumann and Polzehl (1998), and Xia (1998).”
Simultaneous confidence bands for nonparametric regression with functional data (2009, methodology): “For instance, in the context of nonparametric regression on which we focus in this paper, Eubank and Speckman (1993) and Wang and Yang (2009) have used strong invariance principles to build SCB for fixed and random designs. Johansen and Johnstone (1990) and Sun and Loader (1994) have applied the cel”
Simultaneous Confidence Bands for Penalized Spline Estimators (2010, methodology): “has been considered in Eubank and Speckman (1993) and Xia (1998).”